Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
114950y |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1142400 |
Modular degree for the optimal curve |
Δ |
-119251860062500 = -1 · 22 · 56 · 114 · 194 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 11- 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-560192,-161242284] |
[a1,a2,a3,a4,a6] |
Generators |
[322770:3957948:343] |
Generators of the group modulo torsion |
j |
-84985354223649/521284 |
j-invariant |
L |
5.9762636802326 |
L(r)(E,1)/r! |
Ω |
0.087253958151577 |
Real period |
R |
8.561593980018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999623282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4598q1 114950cd1 |
Quadratic twists by: 5 -11 |